alvin2008 Posts: 1, Reputation: 1 New Member #1 Feb 15, 2010, 02:41 AM
Circle inside a square
I have four circles of radius 14 cm. if I arranged it in two rows (two circles in each row). Just I want to find the perimeter of that figure. How can I find it
 galactus Posts: 2,271, Reputation: 282 Ultra Member #2 Feb 15, 2010, 12:18 PM

If I am picturing it correctly, the four circles are inscribed in a square of side length 54. The perimeter would then be 4 times that.
 ebaines Posts: 12,132, Reputation: 1307 Expert #3 Feb 15, 2010, 03:09 PM

I think the OP is asking about the exterior perimeter of an object that is formed by four circles - as illustrated in the attached figure.
Attached Images

 jaybill Posts: 1, Reputation: 1 New Member #4 Feb 20, 2012, 11:07 PM
I realize this question is two years old, but I didn't realize that until I had already typed out the answer. Maybe it will help someone else some day.

1. First, find the circumference of one of one of the circles. π * diameter, so in your case, that's 14 * π = 43.98 (or so)
2. 75% of each circle makes up the shape, so you multiply your circumference (43.98) by 75%, which is 32.98 (roughly)
3. You then take that number and multiply by 4, for the four circles, so 32.98 * 4 = 131.94, which is the perimeter.
 ebaines Posts: 12,132, Reputation: 1307 Expert #5 Feb 21, 2012, 09:54 AM
jaybill: not quite right. The OP said the circles have radius = 14 cm, so the perimeter of each circle is $2 \pi r = 87.96$ cm. Multiply by 3/4 and then by 4 to get 263.9 cm

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